Answer:
Step-by-step explanation:
Given the quadratic equation:
To solve it, we follow these steps:
1. Rearrange the terms to one side of the equation:
2. Utilize the Quadratic formula
.
In this case, we can identify that:
Then, substituting these values into the Quadratic formula gives us the following solutions:
The volume provided is 3Pi(x^3) with a radius of x. To determine the volume of a cone, the formula used is V= [1/3]Pi(r^2)*height. By substituting, we get [1/3]Pi(r^2)x = 3Pi(x^3). This simplifies to (r^2)x = 9(x^3). Eventually, we find that r^2 = 9x^2, which leads to r = sqrt[9x^2] = 3x. <span>Answer: r = 3x</span>
The profit produced by combining sales of gold label and black label equals the total of their individual profits. From the table
you find the gold label's profit
and similarly from another table
find the black label's profit
. Adding these yields
. Thus, option 5 is the correct choice.
The domain consists of all x-values for which the function is defined, which are -4, -1, 3, 5, and 6.
Let’s clarify this: the basketball moves faster, indicating the tennis ball won’t be able to catch up. Therefore, we utilize the formula:
Vr=Vb-Vt
<span>=0.5-0.25=0.25
</span>Thus, the relative speed is <span>0.25m/s.
I hope this is helpful.</span>
